Answer:
3. 16x^2+24xy+9y^2
Step-by-step explanation:
A perfect square trinomial has the form of:
a^2+2ab+b^2= (a+b)^2
Let's see which of the given is equivalent to perfect square
1. 50y^2-4x^2
No, this is not a trinomial
2. 100-36x^2y^2
No, this is not a trinomial
3. 16x^2+24xy+9y^2 = (4x)^2 + 2*4x*3y+ (3y)^2 = (4x+3y)^2
Yes, this is a perfect square
4. 49x^2-70xy+10y^2= (7x)^2- 2*7x*10y + 10y^2
No, this is a trinomial but not a perfect square because 10y^2 is not equal to (10y)^2
As per above, the answer is the 3rd choice
